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Finding the Fourth Proportional to 78,041.72, 107,690.78 and 45,782.84

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Solution

The fourth proportional to 78,041.72, 107,690.78 and 45,782.84 is: 63,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041.72 : 107,690.78 = 45,782.84 : x
  2. Step 2: Convert to fraction form
    78,041.72/107,690.78 = 45,782.84/x
  3. Step 3: Cross multiply
    78,041.72x = 107,690.78 × 45,782.84
  4. Step 4: Simplify right side
    78,041.72x = 4,930,389,750.22
  5. Step 5: Solve for x
    x = 4,930,389,750.22/78,041.72
  6. Step 6: Final answer
    x = 63,176.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.